Question

ii) In figure line line p II line q and line l and m are transversals. Hence find the measures of a​

Answer 1

Answer:

i. 110 + ∠a = 180° [Angles in a linear pair] ∴ ∠a = 180° – 110°  ∴ ∠a = 70°  ii. consider ∠e as shown in the figure line  p || line q, and line lis their transversal.  ∠e + 110° = 180° [Interior angles]  ∴ ∠e = 180° – 110°  ∴ ∠e = 70°  But, ∠b = ∠e [Vertically opposite angles]  ∴ ∠b = 70°  iii. line p || line q, and line m is their transversal.  ∴ ∠c = 115° [Corresponding angles]  iv. 115° + ∠d = 180° [Angles in a linear pair]  ∴ ∠d = 180° – 115° ∴ ∠d = 65°Read more on Sarthaks.com - https://www.sarthaks.com/848952/the-given-figure-line-line-and-line-and-line-are-transversals-measures-some-angles-are-shown